Question$5-4$ Standardized Test Prep
Point-Slope Form Multiple Choice For Exercises 1-5, choose the correct letter.
1. Which equation is equivalent to $y-6=-12(x+4)$ ? A. $y=-6 x-48$ C. $y=-12 x-42$ B. $y=6 x-48$ D. $y=-12 x-54$
2. Which point is located on the line represented by the equation $y+4=-5(x-3) ?$ F. $(-4,-5)$ G. $(-5,-4)$ H. $(3,-4)$ I. $(-3,4)$
3. Which equation represents the line that passes through the points $(6,-3)$ and $(-4,-9)$ ? A. $y+4=-\frac{3}{5}(x+9)$ C. $y-3=\frac{3}{5}(x+6)$ B. $y+4=\frac{5}{3}(x+9)$ D. $y+3=\frac{3}{5}(x-6)$
4. Which equation represents the line shown in the graph? F. $y=-3 x-2$ G. $y=3 x+2$ H. $y+4=-3(x-2)$ l. $y+8=-3(x-2)$
5. The population of a city increases by 4000 people each year. In 2025 , the population is projected to be 450,000 people. What is an equation that gives the city's population $p$ (in thousands of people) $x$ years after 2010? A. $p=4 x+450$ C. $p-15=4(x-450)$ B. $p-450=4(x-15)$ D. $p=4 x+15$
Short Response
6. The table shows the cost of a large cheese pizza with additional toppings on it. a. What is an equation in point-slope form that represents the relationship between the number of toppings and the cost of the pizza? \begin{tabular}{|c|c|} \hline Toppings & Cost (\$) \\ \hline 2 & 10.50 \\ \hline 3 & 11.75 \\ \hline 5 & 14.25 \\ \hline \end{tabular} b. What is the graph of the equation?